in 52 of the 80 years from 1926 through 2005 a certain stock market finished higher after the first week of trading. In 41 of those 52 years, this market finished higher for the year. The following table gives the first-week and annual performance of the market over this 80-year period. Use the table to answer (a) through (c) below. D FIRST WEEK Higher Lower ANNUAL PERFORMANCE Higher 41 14 Lower 11 14 a. If a year is selected at random, what is the probability that the market finished higher for the year? "Round to four decimal places as needed.) b. Given that the market finished higher after the first week of trading, what is the probability that it finished higher for the year? (Round to four decimal places as needed.) c. Are the two events "first-week performance" and "annual performance" independent? Explain. OA. No, the probabilities in (a) and (b) are equal, which means that one event affects the probability of occurence of the other event. OB. Yes, the probabilities in (a) and (b) are equal, which means that neither event affects the probability of occurence of the other event. OC. Yes, the probabilities in (a) and (b) are not equal, which means that neither event affects the probability of occurence of the other event. OD. No, the probabilities in (a) and (b) are not equal, which means that one event affects the probability of occurence of the other event.

3899 you're a data analyst for an insurance company. You want to make sure that your employer is not over-paying for car repairs. To investigate this, you bring 38 different cars to two different garages, Bubba's Hubcap Heaven and Repair, and Merle's Motor Shop. Some of the cars need lots of repairs. Some of the cars need very few. By taking each car to both shops, we can directly compare the two sets of prices.  Before running your analysis, be sure to look at the data file and verify that each car requires a different amount of repairs, and that prices in one shop are correlated with prices at the other shop. That is, they're in the same ballpark. The question is whether one tends to charge more, on average, than the other. Your task is to use Excel to test the research hypothesis that prices are different in the two shops; the null hypothesis is that prices are equal between the two shops. You test at the alpha = 0.01 significance level. What do you conclude? Are prices the same?…

In a recent study, 50 males used a new weight-loss supplement, and 37 of them experienced weight loss after two weeks. In the same study, 25 females used the same supplement, and 16 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible The new weight-loss supplement was more effective on males or females in the study. That is because _______% only failed to lose weight after two weeks, whereas, _______ % of males or females failed to lose weight after two weeks

Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark- brown food paste, made from yeast, that is popular in Australia). She collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Male Female Does Not Like the Taste of Vegemite 4 1 Likes the Taste of Vegemite 2 3 The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. She assigns 0 to "male" and 1 to "female." She then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite."

Suppose 25% of workers in a market are willing to work for $55.000 and 75% of workers are willing to work for $63,000. The expected benetit of searching (interviewing) another worker equals S

B7

A particular gambling game pays 4 to 1 and has a 20% chance to win. Someone will bet $10, 125 times, and keep track of the total amount won or lost. Which of the following boxes will produce the right answers? Check ALL answers that apply. Group of answer choices 1 ticket labeled 1 and 4 tickets labeled 0 20 tickets labeled 1 and 80 tickets labeled 0 1 ticket labeled $40 and 4 tickets labeled -$10 1 ticket labeled $10 and 4 tickets labeled -$10 20 tickets labeled $10 and 80 tickets labeled -$10 20 tickets labeled $40 and 80 tickets labeled -$10